By Daniel Priour
This ebook totally describes a finite point technique for netting. That describes the relation among forces and deformation of the netting. That takes under consideration forces as a result cord elasticity, the hydrodynamic forces, the seize impact, the mesh beginning stiffness. This publication is split in five elements. the 1st part includes creation at the finite aspect procedure, the second one half is ready equilibrium calculation, the 3rd provides a triangular aspect for netting, the fourth and 5th are for cable and node aspect. The 6th offers few validation cases.
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Extra resources for A Finite Element Method for Netting: Application to fish cages and fishing gear
100) F = D11 D12 . 4 Forces on Nodes The forces on the sides of the triangular element are calculated from the twine tension. These forces are related to the number of twines through the sides of the triangle. 46 4 The Triangular Finite Element for Netting This number of twines through each side can be calculated based on the number of base mesh of each vertex. The effort on the side along U of the base mesh (Fig. 110) Here, Ti j is the effort on the side i j of the triangular element. 113) F1 , F2 , and F3 are the forces on the three vertices of the triangular element due to the tension in the twines.
3 Newton-Raphson Method The previous approximation has not been sufficient to reach the analytical solution. The Newton-Raphson method is used to find a numerical solution . 98) k: iteration number, F: force on nodes, x: position of nodes. 100) F = D11 D12 . 4 Forces on Nodes The forces on the sides of the triangular element are calculated from the twine tension. These forces are related to the number of twines through the sides of the triangle. 46 4 The Triangular Finite Element for Netting This number of twines through each side can be calculated based on the number of base mesh of each vertex.
Only Rivlin , to our knowledge, begins to express the stresses in a net surface, but only under conditions of symmetrical deformation twine. If such constitutive law could be defined, usual finite element softwares could be adapted for nettings. 2 Twine Numerical Method The twine numerical method includes almost all the work on numerical modelling of the net [2, 6, 9, 10, 11, 24]. The initial idea is simple: the twines of the net are modelled by bars (called here numerical twines). Then a few adjustments are required.
A Finite Element Method for Netting: Application to fish cages and fishing gear by Daniel Priour